Analysis of the Crystal Ball data on $K^{-}p\to \ddot{I}{€}^0\hat{I}{\pounds }^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV

Abstract

With an effective Lagrangian approach, we analyze the $K^{-}p\to \ddot{I}{€}^0\hat{I}{\pounds }^0$ reaction to study the $\hat{I}›$ hyperon resonances by fitting the Crystal Ball data on differential cross sections and $\hat{I}{\pounds }^0$ polarization with the center-of-mass energies of $1536\sim 1676$ MeV. Besides well established PDG 4-star $\hat{I}›$ resonances around this energy range, the $\hat{I}›(1600){\frac{1}{2}}^{+}$ resonance, listed as a 3-star resonance in PDG, is found to be definitely needed. In addition, there is strong evidence for the existence of a new $\hat{I}›({\frac{3}{2}}^{+})$ resonance around 1680 MeV.

18 pages, 7 figures